A219052 - cp's OEIS frontend

A219052 Number of ways to write n = p + q(3 - (-1)^n)/2 with q <= n/2 and p, q, p^2 + q^2 - 1 all prime.

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	0
9	1
10	0
11	0
12	1
13	0
14	1
15	0
16	0
17	1
18	1
19	1
20	0
21	1
22	2
23	1
24	1
25	0
26	2
27	1
28	1
29	0
30	2
31	2
32	0
33	2
34	1
35	0
36	0
37	1
38	1
39	3
40	0
41	1
42	1
43	1
44	1
45	3
46	1
47	1
48	4
49	0
50	1
51	1
52	1
53	2
54	2
55	1
56	1
57	1
58	1
59	1
60	4
61	0
62	0
63	3
64	0
65	1
66	2
67	2
68	1
69	3
70	1
71	2
72	3
73	2
74	1
75	3
76	2
77	4
78	2
79	1
80	2
81	1
82	1
83	0
84	4
85	2
86	1
87	1
88	1
89	2
90	5
91	4
92	1
93	3
94	1
95	1
96	4
97	1
98	1
99	2
100	2

[0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 3, 0, 1, 1, 1, 1, 3, 1, 1, 4, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 4, 0, 0, 3, 0, 1, 2, 2, 1, 3, 1, 2, 3, 2, 1, 3, 2, 4, 2, 1, 2, 1, 1, 0, 4, 2, 1, 1, 1, 2, 5, 4, 1, 3, 1, 1, 4, 1, 1, 2, 2]

cp's OEIS Frontend

A219052 Number of ways to write n = p + q(3 - (-1)^n)/2 with q <= n/2 and p, q, p^2 + q^2 - 1 all prime.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	0
9	1
10	0
11	0
12	1
13	0
14	1
15	0
16	0
17	1
18	1
19	1
20	0
21	1
22	2
23	1
24	1
25	0
26	2
27	1
28	1
29	0
30	2
31	2
32	0
33	2
34	1
35	0
36	0
37	1
38	1
39	3
40	0
41	1
42	1
43	1
44	1
45	3
46	1
47	1
48	4
49	0
50	1
51	1
52	1
53	2
54	2
55	1
56	1
57	1
58	1
59	1
60	4
61	0
62	0
63	3
64	0
65	1
66	2
67	2
68	1
69	3
70	1
71	2
72	3
73	2
74	1
75	3
76	2
77	4
78	2
79	1
80	2
81	1
82	1
83	0
84	4
85	2
86	1
87	1
88	1
89	2
90	5
91	4
92	1
93	3
94	1
95	1
96	4
97	1
98	1
99	2
100	2

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	0
9	1
10	0
11	0
12	1
13	0
14	1
15	0
16	0
17	1
18	1
19	1
20	0
21	1
22	2
23	1
24	1
25	0
26	2
27	1
28	1
29	0
30	2
31	2
32	0
33	2
34	1
35	0
36	0
37	1
38	1
39	3
40	0
41	1
42	1
43	1
44	1
45	3
46	1
47	1
48	4
49	0
50	1
51	1
52	1
53	2
54	2
55	1
56	1
57	1
58	1
59	1
60	4
61	0
62	0
63	3
64	0
65	1
66	2
67	2
68	1
69	3
70	1
71	2
72	3
73	2
74	1
75	3
76	2
77	4
78	2
79	1
80	2
81	1
82	1
83	0
84	4
85	2
86	1
87	1
88	1
89	2
90	5
91	4
92	1
93	3
94	1
95	1
96	4
97	1
98	1
99	2
100	2

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	0
9	1
10	0
11	0
12	1
13	0
14	1
15	0
16	0
17	1
18	1
19	1
20	0
21	1
22	2
23	1
24	1
25	0
26	2
27	1
28	1
29	0
30	2
31	2
32	0
33	2
34	1
35	0
36	0
37	1
38	1
39	3
40	0
41	1
42	1
43	1
44	1
45	3
46	1
47	1
48	4
49	0
50	1
51	1
52	1
53	2
54	2
55	1
56	1
57	1
58	1
59	1
60	4
61	0
62	0
63	3
64	0
65	1
66	2
67	2
68	1
69	3
70	1
71	2
72	3
73	2
74	1
75	3
76	2
77	4
78	2
79	1
80	2
81	1
82	1
83	0
84	4
85	2
86	1
87	1
88	1
89	2
90	5
91	4
92	1
93	3
94	1
95	1
96	4
97	1
98	1
99	2
100	2